Results 51 to 60 of about 524,049 (276)
Fractal and Fractional, 2021 In the present work, the numerical solution of fractional delay integro-differential equations (FDIDEs) with weakly singular kernels is addressed by designing a Vieta–Fibonacci collocation method.
K. Sadri +4 more
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Generating functions of binary products of k-Fibonacci and orthogonal polynomials [PDF]
, 2019 In this paper, we introduce a new operator in order to derive some new symmetric properties of k-Fibonacci and k-Pell numbers and Tchebychev polynomials of first and second kind.
Acikgoz, Mehmet +4 more
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The generalized k-Fibonacci polynomials and generalized k-Lucas polynomials
Notes on Number Theory and Discrete Mathematics, 2021 In this paper, we define new families of Generalized Fibonacci polynomials and Generalized Lucas polynomials and develop some elegant properties of these families.
Merve Taştan, E. Özkan, A. Shannon
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Polynomial values in Fibonacci sequences
Involve, a Journal of Mathematics, 2020 The only perfect powers in the Fibonacci sequence are 0, 1, 8, and 144, and in the Lucas sequence, the only perfect powers are 1 and 4. We prove that in sequences that follow the same recurrence relation of the Lucas and Fibonacci sequences, there are always only finitely many polynomial values g(ℤ) for any polynomial g which is not equivalent to a ...
Ostrov, Adi +3 more
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A Note on Fibonacci-Type Polynomials [PDF]
Integers, 2010 AbstractWe opt to study the convergence of maximal real roots of certain Fibonacci-type polynomials given ...
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Some remarks regarding the $(p,q)-$Fibonacci and Lucas octonion polynomials
Universal Journal of Mathematics and Applications, 2018 We investigate the $(p,q)-$Fibonacci and Lucas octonion polynomials. The main purpose of this paper is using of some properties of the $(p,q)-$ Fibonacci and Lucas polynomials. Also for present some results involving these octonion polynomials, we obtain
Arzu Özkoç Öztürk, Ayhan Porsuk
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Distance Fibonacci Polynomials - Part II
Symmetry, 2021 In this paper we use a graph interpretation of distance Fibonacci polynomials to get a new generalization of Lucas polynomials in the distance sense.
U. Bednarz, M. Wołowiec-Musiał
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Bernoulli-Fibonacci Polynomials
, 2020 By using definition of Golden derivative, corresponding Golden exponential function and Fibonomial coefficients, we introduce generating functions for Bernoulli-Fibonacci polynomials and related numbers. Properties of these polynomials and numbers are studied in parallel with usual Bernoulli counterparts.
Pashaev, Oktay K., Ozvatan, Merve
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“Generating matrix for Generalized Fibonacci numbers and Fibonacci polynomials
Journal of Physics: Conference Series, 2022 Many researchers have been working on recurrence relation sequences of numbers and polynomials which are useful topic not only in mathematics but also in physics, economics and various applications in many other fields.
Mannu Arya, V. Verma
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Some Properties of the (p,q)-Fibonacci and (p,q)-Lucas Polynomials
Journal of Applied Mathematics, 2012 Riordan arrays are useful for solving the combinatorial sums by the help of generating functions. Many theorems can be easily proved by Riordan arrays. In this paper we consider the Pascal matrix and define a new generalization of Fibonacci polynomials ...
GwangYeon Lee, Mustafa Asci
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